土地税制の理論的・計量的分析
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1
2 I II
3 III I
4 II I II III
5 4 I I I I I II II II II II II II II II II II III III III III III
6 * ** Peer D.Boone NBER 1
7 2 Ricardo Kanemoo, ayashi and Wago Kanemoo, ayashi and Wago1987 uoregressive Model (1) (2) (3)
8 3 I II I III I II III I II
9 4 I 50km
10 5 τ τ τ credible 1.50) ( 0.61) ( 1.79) ( (3.40) = + r p τ τ (15.43) 3.85) ( (1.96) w y y (3.87) w ) ( 0.94) ( 3.42) ( T l l k i i i dummy 16 1 = + β R 2 = permanen
11 6 (1) (11.64) (2.52) ) ( r p p l + = + (5.88) 0.88) ( ) ( ( ) + p y p τ 0.09) ( (124.73) ) ( k p w i i i i i i r dummy dummy = = + γ R 2 = (2) (11.66) (2.55) ) ( r p p l + = + (4.28) 3.38) ( ) ( ( ) + p y p τ (96.36) dummy ) ( i i i p w + + = δ R 2 = II (1) (2)(1) (3)(2) (1) 23 50km (a) 1991 (b) (c) (2) 5 (d) (e) (f) (g) 1992
12 ( ) (%) (ha) (%) (ha) (%) ,756 8, ,299 7, (6.9) 62,304 ( 2.5) 7,090 (17.9) 580 (8.5) 64,010 ( 2.7) 5,385 (24.1) 490 (5.8) 62,002 ( 2.1) 7,393 (14.4) 582 (8.2) 63,922 ( 2.6) 5,473 (22.9) 499 (4.0) 61,607 ( 1.4) 7,788 (9.8) 587 (7.4) 63,735 ( 2.3) 5,660 (20.2) 426 (18.2) 62,743 ( 3.3) 6,652 (23.0) 474 (25.3) 64,479 ( 3.5) 4,916 (30.7) 458 (11.9) 62,493 ( 2.9) 6,902 (20.1) 493 (22.3) 64,398 ( 3.4) 4,997 (29.6) 490 (5.8) 62,002 ( 2.1) 7,393 (14.4) 510 (19.6) 64,244 ( 3.1) 5,151 (27.4) 422 (18.9) 62,631 ( 3.1) 6,764 (21.7) 492 (22.4) 64,368 ( 3.3) 5,027 (29.2) 440 (15.4) 62,479 ( 2.8) 6,916 (19.9) 517 (18.5) 64,254 ( 3.1) 5,141 (27.6) 449 (11.4) 62,590 ( 3.0) 6,805 (21.2) 505 (20.4) 64,363 ( 3.3) 5,032 (29.1) (13.1) 62,655 ( 3.1) 6,740 (22.0) 515 (18.8) 64,487 ( 3.5) 4,907 (30.8) (h) ,000 m ,916ha 0.5 7
13 ,479ha m ha 353ha , m ,573 (3) (i) m 2 3,000 (j) m 2 3,000 m III I II I II
14 (1) P 1 = y c 1 (15.36) (3.59) (3.72) k k w 1 (4.86) ( 2.26) (4.50) l τ 1 dummy1 ( 12.30) (1.15) τ 1 dummy 2 (0.83) τ 1 dummy 3 (1.10) τ dummy 1 ( 1.69) τ dummy 2 ( 1.48).4206τ dummy ( 1.74) α 13+ i dummy 4+ i i = 0 (2) P +1 = y c (41.29) (5.27) (5.65) k (2.70) k ( 2.50) w (31.00) l τ 1 dummy 7 ( 27.55) (0.18) τ 1 dummy 8 (1.68) τ 1 dummy 9 (1.90) τ dummy 7 ( 1.12) τ dummy 8 ( 2.44) τ dummy 9 ( 2.81) k 0.04 (k) (l)
15 (1) P = P y 1 (6.71) (0.99) (1.10) c (4.12).0130l ( 6.68) (2) k (2.28) w (10.74) τ dummy ( 1.66) τ dummy ( 1.56) τ dummy 3 ( 1.57) 3 + β 10+ i dummy 4+ i i = P = P y 1 (6.11) (2.29) (1.33) c (2.58) k (0.10) w (7.86) l τ dummy 7 ( 6.07) ( 1.99) τ dummy 8 ( 2.08).0419τ dummy ( 2.04) 0 9 (m) ,000 m ,000 m (24.7) (36.8) (29.1) (33.7) (21.1) (24.2) (21.7) 30.6 (38.8) 32.2 (26.3) 31.7 (36.6) 35.7 (18.3) 36.9 (26.1) 1, , (27.8) (40.2) (31.4) (36.4) (23.4) (26.8) ,000 m 2 32,000 m
16 11 I II
17 I L 33 T r (1) I PL r 1977 P PL T emporary P permanen (1) P L P P + R P T + 1 = h, r, W 1 P P +1 W 1 PL T +1 R 12
18 (1) PL W 1 P + 1 P R T (2) L =, r (1) P W 1 W 1 P W 1 PL P + 1 P R T (3) L =, r P W 1 P T R T L T + (2) W 1 Tobin (1969) W 1 PL 13 W 1 P + 1 P 1
19 T L α P = ( 1 + α) P P R R (4) L = P + 1 P ( 1 + α) W 1 P + (1 + α)( R P T ), α T L (5) L + L = L T (2)(4)(5) (6) P = ƒ ( P + 1, r, T, T, R, R, W 1, ( + ) ( ) ( ) ( ) ( + ) ( + ) ( + ) T W 1, L ) ( + ) ( ) a i b i P +1 P ( α = 0) r P T T T / P R / P ( P + 1 P )/ P P 14 P P W 1 W 1 P T L P T (7) L = a0 + b0 + a1( P + 1 P + R T )/ P ( P 1 1 P + (1 + )( R +1 + b + α T ))/ P + ( a + b2 ) r + a3( W 1 / P ) 2 + b 1 + α )( W / P ) 3( 1
20 (9) R ( L ) T = R ( L ) T R T = R T a = b = (8) 1 = a2 ( + 1 P + R T )/ 1 = b2 P P = r L L (8) P P I O1O 2 O O (4) (2) (7) T T R R E 0 15
21 16 (7) i a i b I II 1989
22 P P P Ω McCallum1976 Ω (10) P E Ω ] + 1 = [ P + 1 Ω P +1 Ω ε +1 (11) P + 1 = E [ P + 1 Ω ] + ε + 1 E [ ε 1 Ω ] = 0 + P +1 P (errors in variableε + 1 McCallum (1976)
23 (12) uij = υ i + e j + ε ij ( i = 1, L L, N. j = 1, LL, T ) ε ij (13) E ( υ i ) = E ( e j ) = E ( ε ij ) = 0 E [ υ ie j ] = E [ υiεij ] = E [ e jε ij ] = 0 2 E [ υ i υs ] = σ υ ( i = s) = 0 ( i s) = 0 ( j ) 2 E [ ε ij ε s ] = σ ε ( i = s, j = ) = 0 ( ) uij υ e j i 2 E [ e e ] = σ ( j ) j e = 18
24 α 2 2 E ( uu' ) = σ I + σ σ ε NT υ + I J B J I, I, I N, I T N 2 e B T, N T NT NT, N, T J T, J N ( T T ), ( N N ) Kronecker Produc Fuller and Baese1974 σ 2 σ 2, σ 2 ε, υ e = α + P 0 α1x I 0 α 0 Fuller and Baese1974 siao
25 I ET T m 2 IIIIII km / m m m 2 T m
26 / II 1.4 m 2 T ET /74
27 I 11 P + 1 = r (14) τ (3.40) ( 1.79) ( 0.61) τ ( 1.50) y y 1 (1.96) ( 3.85) w w 1 (15.43) (3.87) R T.1791k l l ( 3.42) ( 0.94) ( 0.41) K Y R + β i dummyi i = β i (1.11) 0.45 (1.97) (0.61) (3.28) (1.01) (3.25) (0.41) (0.09) (0.78) (0.94) R (0.21) (0.43) (0.33) (7.94) Y (4.27) R 2 = r 1 McCallum τ = ln( T ) T 0 1 McCallum
28 I1 l l T l l n( l + l ) P +1 P r τ τ y y w 1 w 1 D 1 D 1 ln( P 1L 1 + D 1 ) ln( P 1L 1 + D 1 ) k dummy1 dummy2 dummy3 dummy4 dummy5 dummy6 dummy7 dummy8 dummy9 dummy10 dummy11 dummy12 dummy13 dummy14 dummy15 dummy
29 τ τ m 2 τ (15) P = ( P + 1 r ) (1.24) (2.02) 0.273τ τ y ( 0.69) ( 0.30) (0.50).0014y w w ( 0.06) (3.76) (3.62) k l T + α i dummy i = 1 ( 0.76) ( 3.93) τ α i (0.60) 0.32 (1.37) τ (0.17) (0.62) (0.78) (0.36) (0.19) (0.04) (0.56) (0.43) credible τ τ (0.12) (0.49) (0.18) (0.58) (3.85) R 2 = (15) P + 1 r ln ( p + 1 / ( 1 + r )) 20 (15) y 20 τ 0 1 i 24
30 τ τ I (16) l = ( p + 1 p r ) 10) P (2.52) (11.64) ( τ p ) ( y p ) P ( 0.88) (5.88) ( w 1 p ) k P (124.73) ( 0.09) γ i dummy i + γ i dummy i (16)(17)i = 1 i = 15 y γ i y (4.12) (3.77) (10.31) (16)(17) (1.72) (6.57) (5.72) (2.88) (15) (3.90) (71.32) R 2 = y (17) l = ( p + 1 p r ) y (2.55) (11.66) ( τ p ) ( y p ) ( 3.38) (4.28) (15) P ( w 1 p ) δ idummy i P 0.38 i = 8 (96.36) T l δ i (3.49) (3.02) (12.58) w 1 w (2.33) (3.19) (2.95) (3.31) (6.82) (31.28) R 2 =
31 26 (16)(17) p p + 1 r m 2 +1 p l l +1 p permanen +1 p l
32 k 11) p 1 w 1 p + 1 l l p 11 27
33 28
34 1.72 η η (16) (17) T T (18) η = η ( L / L ) + η ( L / L ) (16) η = = (17)9 η = 0. T T ( L / L ) ( L / L ) () η = = L / L T = 0.82 L / LT = η =
35 (14) (15) (14) (16)(17) 30
36 31 II (1). (2).(1) (3).(2) (16) (17) (14) 12 (17) (14) (17) (16) (14) (16) (16) (17) (14) (16) (17) 12Kanemoo, ayashi and Wago1987
37 II (/m 2 ) (%) (/m 2 ) (%) ( ) (%) ( ) (%) , ,895,140 1,104, , ,171, ,254, , ,953, ,375, , ,068, ,549, , ,145, ,667, , ,099, ,775, , ,355, ,898, , ,598, ,071, , ,114, ,244, , ,992, ,498, , ,227, ,734, , ,658, ,968, , ,032, ,238, , ,641, ,533, , ,510, ,855, , ,666, ,207, , ,139, ,592, , ,965, ,013, , ,181, ,472, , ,833, ,975, , ,968, ,525, , ,644, ,126, , ,923, ,783, (/m 2 ) (%) (/m 2 ) (%) (%) ( ha) (%) , , , , , , , , , , , , , , , , , , , , , , ,
38 33 II (1)(2) (3) (1)(2) (3) II II ,000 m 2 634,000 m 2 58,274ha ,299ha 11,120ha 7,096ha 335ha II
39 II II 34
40 II m m
41 II ( ) (%) (ha) () (ha) () ,756 8, ,299 7, (6.9) 62,304 ( 2.5) 7,090 (17.9) 580 (8.5) 64,010 ( 2.7) 5,385 (24.1) (5.8) 62,002 ( 2.1) 7,393 (14.4) 582 (8.2) 63,922 ( 2.6) 5,473 (22.9) (4.0) 61,607 ( 1.4) 7,788 (9.8) 587 (7.4) 63,735 ( 2.3) (20.2) (18.2) 62,743 ( 3.3) 6,652 (23.0) 474 (25.3) 64,479 ( 3.5) 4,916 (30.7) (11.9) 62,493 ( 2.9) 6,902 (20.1) 493 (22.3) 64,398 ( 3.4) 4,997 (29.6) (5.8) 62,002 ( 2.1) 7,393 (14.4) 510 (19.6) 64,244 ( 3.1) 5,151 (27.4) (18.9) 62,631 ( 3.1) 6,764 (21.7) 492 (22.4) 64,368 ( 3.3) 5,027 (29.2) (15.4) 62,479 ( 2.8) 6,916 (19.9) 517 (18.5) 64,254 ( 3.1) 5,141 (27.6) (11.4) 62,590 ( 3.0) 6,805 (21.2) 505 (20.4) 64,363 ( 3.3) 5,032 (29.1) (13.1) 62,655 ( 3.1) 6,740 (22.0) 515 (18.8) 64,487 ( 3.5) 4,907 (30.8) II II II II E 0 36
42 II L L 0 0 P0 E 1 P 1 L L
43 23 50km m 2 X M X N L M m 2 L M m 2 L N m 2 L N m m 2 T 1991 T 1995 X M L M + X N LN L M (1) T = = X M L M + L N L M + LN 2000 LN X N LM + LN X M L M + X N L N L M (2) T = = X M L M + L N L M + L N II II 13) LN II II + X N LM + LN X M X N L / ( LM + LN )) )) L M M / ( LM + LN L N /( LM + LN ) < LN /( LM + LN ) 2000 (1) (2) T > T I ET ET ET ET P 1991 L M L N II (3) P = PM + PN L M + L N L M + L N PM P N ,000 m 2 L M L N 58 m 2 1,700ha L M = LM + LM L N = LN + LN 5,385ha 64,010ha ( L M + LN ) 524ha I (3) (1) 100m 2 T (2)T T > T 12 14) m II m
44 II 39
45 II 40
46 II II II E 0 E 1 41
47 II 1995 E 1 E P 1 P II 2000 E 1 E II I II
48 43 II II II II II II II ,000 m 2
49 44 II ,916ha ,479ha m ha 353ha , ) 0.7
50 II Feldsein1977 Calvo, Kolikoff and Rodriguez
51 II )
52 II II II 50m 2 150m
53 II , m 2 6,100 50m 2 50m 2 305, m ,000 5, m ,000 1, m 2 150m 2 9, m
54 II4 (1) (a) 50m 2 150m 2 50m 2 150m 2 50m 2 150m 2 (b) 6,523 6,523 8,943 8,943 11,633 11,633 (c) (263) (263) (501) (501) (877) (877) (d) (c)+(d) (2) 100m (3) 50m 2 150m 2 50m 2 150m 2 50m 2 150m (4) 50m 2 150m 2 50m 2 150m 2 50m 2 150m (d)(2) (b) 49
55 50 II II E 0 E 1 P 0 P 1
56 II m ,000 51
57 II m 2 3,000 II10 II m 2 3, m 2 3,000 m 2 3,000 II m 2 m 2 3, m 2 3,
58 II 10 m 2 3, II m 2 3, m 2 3,000 m 2 3, m 2 3,
土地税制の理論的・計量的分析
54 III 1971 1988 III 1971 m 2 16,000 1988 109,000 17 6.6 4.5 1974 197173 17) 197881 198687 17 1950 III ( m 2 ) () 1971 16,470 15.53 1972 21,550 30.84 1973 26,817 24.44 1974 24,973 6.88 1975 25,549 2.31
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